Finding the Fourth Proportional to 2,066.81, 3,099.60 and 1,142.82

Step by Step Solution

1. Step 1: Write the proportion equation
   2,066.81 : 3,099.60 = 1,142.82 : x
2. Step 2: Convert to fraction form
   2,066.81/3,099.60 = 1,142.82/x
3. Step 3: Cross multiply
   2,066.81x = 3,099.60 × 1,142.82
4. Step 4: Simplify right side
   2,066.81x = 3,542,284.87
5. Step 5: Solve for x
   x = 3,542,284.87/2,066.81
6. Step 6: Final answer
   x = 1,713.89